Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168a |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
722968466688 = 28 · 32 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19748,-1060812] |
[a1,a2,a3,a4,a6] |
Generators |
[346:5780:1] |
Generators of the group modulo torsion |
j |
137842000/117 |
j-invariant |
L |
4.0757497068172 |
L(r)(E,1)/r! |
Ω |
0.40275326703294 |
Real period |
R |
2.5299296390586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312a2 |
Quadratic twists by: 17 |